3 papers
physics.flu-dyn2022
Pilot-Wave Dynamics: Using Dynamic Mode Decomposition to characterize Bifurcations, Routes to Chaos and Emergent Statistics
J. Nathan Kutz, Andre Nachbin, Peter J. Baddoo +1
We develop a data-driven characterization of the pilot-wave hydrodynamic system in which a bouncing droplet self-propels along the surface of a vibrating bath. We consider drop mot…
physics.flu-dyn2019
Spontaneous critical layer formation and robustness beneath rotational waves
M. V. Flamarion, A. Nachbin, R. Ribeiro-Junior
Non-stationary rotational surface waves are considered, where the underlying current has constant vorticity. A study is presented on the robustness of a critical layer in the prese…
math.NA2019
Singular integration towards a spectrally accurate finite difference operator
Andre Nachbin
It is an established fact that a finite difference operator approximates a derivative with a fixed algebraic rate of convergence. Nevertheless, we exhibit a new finite difference o…